Electricity Puzzles

You can see the figure or draw one of your own. The scenario is as shown. There are three houses represented with the triangle over the square. There are three utilities: W, G and E representing water, gas and electricity respectively.

Can you draw a line and get each utility into every house (9) total lines without ever crossing any line?

There is no electricity in your home. You have to wear socks. You trace the drawer and find out that there are four socks in your drawer. The socks can be either black or white. You take out two of the socks from the drawer. Now the probability that the two socks are black is 1/2.

Can you calculate the probability of taking out a pair of white socks from the drawer?

Just analyze the statement carefully. If there are two colored socks in a drawer, there can be three chances if you take out a pair. It can be either black socks or white socks or a mixed of two. But as per the statement the chances of taking out a black pair of socks is 1/2. Therefore, only two chances exist. We do know that there is a mix of white and black socks in the drawer and thus the second chance has to be a mixture of them both. This is the reason why we can deduce that there are three black socks in the drawer and just one white sock. Thus the probability of taking out two white socks will be zero.